
"""simple docstring"""





import unittest

from diffusers import FlaxAutoencoderKL
from diffusers.utils import is_flax_available
from diffusers.utils.testing_utils import require_flax

from .test_modeling_common_flax import FlaxModelTesterMixin


if is_flax_available():
				import jax






@require_flax
class        _UpperCAmelCase(       snake_case_ ,	unittest.TestCase      ):
		lowercase__         = FlaxAutoencoderKL



		@property
		def 		UpperCAmelCase				(   self)			->			Any:






							'''simple docstring'''
							_UpperCamelCase									=    4
							_UpperCamelCase									=    3
							_UpperCamelCase									=    (32, 32)

							_UpperCamelCase									=    jax.random.PRNGKey(0)
							_UpperCamelCase									=    jax.random.uniform(lowerCAmelCase__							,						((batch_size, num_channels) + sizes))

							return {"sample": image, "prng_key": prng_key}




		def 		UpperCAmelCase				(   self)			->			List[str]:






							'''simple docstring'''
							_UpperCamelCase									=    {
							    '''block_out_channels''': [32, 64],
							    '''in_channels''': 3,
							    '''out_channels''': 3,
							    '''down_block_types''': ['''DownEncoderBlock2D''', '''DownEncoderBlock2D'''],
							    '''up_block_types''': ['''UpDecoderBlock2D''', '''UpDecoderBlock2D'''],
							    '''latent_channels''': 4,
							}
							_UpperCamelCase									=    self.dummy_input
							return init_dict, inputs_dict











'''simple docstring'''



from math import pow
def        UpperCAmelCase (    A	:					int       ,		A	:					int       ,		A	:					int       ,		A	:					int       ,		A	:					int       ,		):
							if current_sum == needed_sum:
														# If the sum of the powers is equal to needed_sum, then we have a solution.
														solutions_count += 1
														return current_sum, solutions_count

							SCREAMING_SNAKE_CASE       :   Tuple         =      int(pow(A       ,		A					)					)
							if current_sum + i_to_n <= needed_sum:
														# If the sum of the powers is less than needed_sum, then continue adding powers.
														current_sum += i_to_n
														SCREAMING_SNAKE_CASE       ,SCREAMING_SNAKE_CASE       :   Dict         =      backtrack(
														    A       ,		A       ,		current_number + 1       ,		A       ,		A					)
														current_sum -= i_to_n
							if i_to_n < needed_sum:
														# If the power of i is less than needed_sum, then try with the next power.
														SCREAMING_SNAKE_CASE       ,SCREAMING_SNAKE_CASE       :   int         =      backtrack(
														    A       ,		A       ,		current_number + 1       ,		A       ,		A					)
							return current_sum, solutions_count
def        UpperCAmelCase (    A	:					int       ,		A	:					int					):
							if not (1 <= needed_sum <= 1000 and 2 <= power <= 10):
														raise ValueError(
														    '''Invalid input\n'''
														    '''needed_sum must be between 1 and 1000, power between 2 and 10.'''					)

							return backtrack(A       ,		A       ,		1       ,		0       ,		0					)[1]  # Return the solutions_count


if __name__ == "__main__":
							import doctest

							doctest.testmod()




